On supersimplicity and lovely pairs of cats

Abstract

We prove that the definition of supersimplicity in metric structures from \cite{pezz:Morley} is equivalent to an \textit{a priori} stronger variant. This stronger variant is then used to prove that if $T$ is a supersimple Hausdorff cat then so is its theory of lovely pairs.

Cited by in corpus (1)

• On perturbations of Hilbert spaces and probability algebras with a generic automorphism